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Finding the Fourth Proportional to 30,980.72, 46,430 and 16,202

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Solution

The fourth proportional to 30,980.72, 46,430 and 16,202 is: 24,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.72 : 46,430 = 16,202 : x
  2. Step 2: Convert to fraction form
    30,980.72/46,430 = 16,202/x
  3. Step 3: Cross multiply
    30,980.72x = 46,430 × 16,202
  4. Step 4: Simplify right side
    30,980.72x = 752,258,860
  5. Step 5: Solve for x
    x = 752,258,860/30,980.72
  6. Step 6: Final answer
    x = 24,281.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.